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Finding the Fourth Proportional to 3,574.50, 4,930.74 and 2,245.92

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Solution

The fourth proportional to 3,574.50, 4,930.74 and 2,245.92 is: 3,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.50 : 4,930.74 = 2,245.92 : x
  2. Step 2: Convert to fraction form
    3,574.50/4,930.74 = 2,245.92/x
  3. Step 3: Cross multiply
    3,574.50x = 4,930.74 × 2,245.92
  4. Step 4: Simplify right side
    3,574.50x = 11,074,047.58
  5. Step 5: Solve for x
    x = 11,074,047.58/3,574.50
  6. Step 6: Final answer
    x = 3,098.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.